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This paper introduces a definition of ideological polarization of an electorate around a particular central point. The definition is flexible about the location or boundaries of the center. Using US survey data, the paper shows how this…

General Economics · Economics 2024-11-27 Boris Ginzburg

A new model for the dynamics of opinion formation is proposed and analysed at the mean-field level. It can be regarded as a generalization of the noisy voter model in which agents update their binary states by copying others and by an…

Statistical Mechanics · Physics 2024-10-29 Miguel Aguilar-Janita , Andres Blanco-Alonso , Nagi Khalil

Politically divided societies are also often divided emotionally: people like and trust those with similar political views (in-group favoritism) while disliking and distrusting those with different views (out-group animosity). This…

Social and Information Networks · Computer Science 2025-04-11 Buddhika Nettasinghe , Allon G. Percus , Kristina Lerman

We develop a theory of distributive competition under redistricting that explains both electoral outcomes and the equilibrium allocation of policy benefits by endogenizing voter pivotality. In a multi-district model with primaries, general…

General Economics · Economics 2026-04-03 Thomas Groll , Sharyn O'Halloran

We study an opinion dynamics model that explores the competition between persuasion and compromise in a population of agents with nearest-neighbor interactions on a two-dimensional square lattice. Each agent can hold either a positive or a…

Physics and Society · Physics 2019-12-03 Fátima Velásquez-Rojas , Federico Vazquez

We measure polarization in the United States Congress using the network science concept of modularity. Modularity provides a conceptually-clear measure of polarization that reveals both the number of relevant groups and the strength of…

Physics and Society · Physics 2011-07-26 Andrew Scott Waugh , Liuyi Pei , James H. Fowler , Peter J. Mucha , Mason A. Porter

We investigate the phenomena of political bi-polarization in a population of interacting agents by means of a generalized version of the model introduced in PRE E 101, 012101 (2020) for the dynamics of voting intention. Each agent has a…

Physics and Society · Physics 2020-07-15 Nicolas Saintier , Juan Pablo Pinasco , Federico Vazquez

Political polarization, fueled by public discourse and echo chambers, threatens the foundation of democratic elections. However, traditional one-dimensional opinion models -- assuming ``support for one party equals opposition to another''…

Physics and Society · Physics 2025-10-31 Ziqian Liu , Xin Wang , Junyu Lu , Longzhao Liu , Hongwei Zheng , Shaoting Tang

A multi-level model of opinion formation is presented which takes into account that attitudes on different issues are usually not independent. In the model, agents exchange beliefs regarding a series of facts. A cognitive structure of…

Physics and Society · Physics 2021-10-11 Sven Banisch , Eckehard Olbrich

In this paper we extend some recent results on an operatorial approach to the description of alliances between political parties interacting among themselves and with a basin of electors. In particular, we propose and compare three…

Physics and Society · Physics 2017-05-24 F. Bagarello , F. Gargano

We introduce a socially motivated extension of the voter model in which individual voters are also influenced by two opposing, fixed-opinion news sources. These sources forestall consensus and instead drive the population to a politically…

Physics and Society · Physics 2020-01-27 Deepak Bhat , S. Redner

Political polarization in online social platforms is a rapidly growing phenomenon worldwide. Despite their relevance to modern-day politics, the structure and dynamics of polarized states in digital spaces are still poorly understood. We…

Physics and Society · Physics 2024-04-04 Antonio F. Peralta , Pedro Ramaciotti , János Kertész , Gerardo Iñiguez

In democracies, major policy decisions typically require some form of majority or consensus, so elites must secure mass support to govern. Historically, elites could shape support only through limited instruments like schooling and mass…

General Economics · Economics 2025-12-04 Nadav Kunievsky

We present the result of a dual modeling of opinion network. The model complements the agent-based opinion models by attaching to the social agent (voters) network a political opinion (party) network having its own intrinsic mechanisms of…

Physics and Society · Physics 2015-06-04 Ru Wang , Qiuping Alexandre Wang

In many instances of election, the electorate appears to be a composite of partisan and independent voters. Given that partisans are not likely to convert to a different party, a main goal for a party could be to mobilize independent voters…

Physics and Society · Physics 2015-03-31 Naoki Masuda

The drastic effect of local alliances in three-party competition is investigated in democratic hierarchical bottom-up voting. The results are obtained analytically using a model which extends a sociophysics frame introduced in 1986…

Physics and Society · Physics 2015-06-15 Serge Galam

For the voter model, we study the effect of a memory-dependent transition rate. We assume that the transition of a spin into the opposite state decreases with the time it has been in its current state. Counter-intuitively, we find that the…

Disordered Systems and Neural Networks · Physics 2009-11-13 Hans-Ulrich Stark , Claudio J. Tessone , Frank Schweitzer

News articles of varying degrees of truthfulness and political alignment, and their influences on the political opinions of the media consumers are modeled as a Bayesian network incorporating a mixture of ideas from dual-reasoning models of…

Social and Information Networks · Computer Science 2019-06-18 In-Ho Yi

Political polarization has attracted increasing attention in recent years, driven by the rise of social media and the global emergence of far-right populist movements. This study investigates the dynamics of structural polarization during…

Physics and Society · Physics 2024-10-31 Eva Rifà , Joan Massachs , Emanuele Cozzo , Julian Vicens

In certain parliamentary democracies, there are two major parties that move in and out of power every few elections, and a third minority party that essentially never governs. We present a simple model to account for this phenomenon, in…

Physics and Society · Physics 2009-03-09 D. Volovik , M. Mobilia , S. Redner